| 一般增长曲线模型回归系数线性估计的可容许性 |
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| 引用本文： | 刘刚,张尚立.一般增长曲线模型回归系数线性估计的可容许性[J].系统科学与数学,2009,29(3):315-322. |
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| 作者姓名： | 刘刚 张尚立 |
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| 作者单位： | 1. 中国人民大学信息学院,北京,100872
2. 北京交通大学理学院,北京,100044 |
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| 摘 要： | 在矩阵损失函数下,讨论了一般增长曲线模型中回归系数线性估计的可容许性问题,分别在齐次与非齐次估计类中给出了回归系数的线性估计是可容许估计的充要条件,推广了以往文献的相关结论.
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| 关 键 词： | 增长曲线模型 线性估计 可容许性 |
| 收稿时间： | 2007-5-8 |
| 修稿时间： | 2008-3-11 |
Admissibility for Linear Estimates of the Regression Coefficients in the General Growth Curve Model |
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| LIU Gang,ZHANG Shangli.Admissibility for Linear Estimates of the Regression Coefficients in the General Growth Curve Model[J].Journal of Systems Science and Mathematical Sciences,2009,29(3):315-322. |
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| Authors: | LIU Gang ZHANG Shangli |
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| Institution: | (1)School of Information, Renming University of China, Beijing 100872; (2)School of Science, Beijing Jiaotong University, Beijing 100044. |
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| Abstract: | In this paper, the admissibility for linear estimates of regression coefficients in the general growth curve model is discussed under the matrix loss function, necessary and sufficient conditions for linear estimates to be admissible are obtained for some homogenous and nonhomogenous linear estimates class, respectively, which extend some results in literatures. |
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| Keywords: | Growth curve model linear estimator admissibility |
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